#### Solution for 9 is what percent of 30:

9:30*100 =

( 9*100):30 =

900:30 = 30

Now we have: 9 is what percent of 30 = 30

Question: 9 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={30}.

Step 4: In the same vein, {x\%}={ 9}.

Step 5: This gives us a pair of simple equations:

{100\%}={30}(1).

{x\%}={ 9}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{30}{ 9}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{ 9}{30}

\Rightarrow{x} = {30\%}

Therefore, { 9} is {30\%} of {30}.

#### Solution for 30 is what percent of 9:

30: 9*100 =

(30*100): 9 =

3000: 9 = 333.33

Now we have: 30 is what percent of 9 = 333.33

Question: 30 is what percent of 9?

Percentage solution with steps:

Step 1: We make the assumption that 9 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={ 9}.

Step 4: In the same vein, {x\%}={30}.

Step 5: This gives us a pair of simple equations:

{100\%}={ 9}(1).

{x\%}={30}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{ 9}{30}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{30}{ 9}

\Rightarrow{x} = {333.33\%}

Therefore, {30} is {333.33\%} of { 9}.

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